A REPRESENTATION FORMULA FOR THE p-ENERGY OF METRIC SPACE-VALUED SOBOLEV MAPS
نویسندگان
چکیده
منابع مشابه
The Wijsman structure of a quantale-valued metric space
We define and study a quantale-valued Wijsman structure on the hyperspace of all non-empty closed sets of a quantale-valued metric space. We show its admissibility and that the metrical coreflection coincides with the quantale-valued Hausdorff metric and that, for a metric space, the topological coreflection coincides with the classical Wijsman topology. We further define an index of compactnes...
متن کاملADMITTING CENTER MAPS ON MULTIPLICATIVE METRIC SPACE
In this work, we investigate admitting center map on multiplicative metric space and establish some fixed point theorems for such maps. We modify the Banach contraction principle and the Caristi's fixed point theorem for M-contraction admitting center maps and we prove some useful theorems. Our results on multiplicative metric space improve and modify s...
متن کاملA representation formula for maps on supermanifolds
The theory of supermanifolds, first proposed by Salam and Strathdee [15] as a geometrical framework for understanding the supersymmetry, is now well understood mathematically and can be formulated in roughly two different ways: either by defining a notion of superdifferential structure with ”supernumbers” which generalizes the differential structure of R and by gluing together these local model...
متن کاملBanach Type Fixed Point Theorem for Set Valued Maps on a Fuzzy Metric Space
8-28-8/1, Tamil Street, Chinna Waltair, Visakhapatnam-530 017, India E-mail: [email protected] Department of Engineering Mathematics, GIT, Gitam University Visakhapatnam-530 045, India E-mail: [email protected] Department of Mathematics, Mrs. A.V.N. College Visakhapatnam -530 001, India E-mail: [email protected] Department of Mathematics, Raghu Engineering College Visakhapatnam-531 1...
متن کاملSobolev Spaces on an Arbitrary Metric Space
We define Sobolev space J V ' , ~ for 1 < p < (x, on an arbitrary metric space with finite diameter and equipped with finite, positive Bore1 measure. In the Euclidean case it coincides with standard Sobolev space. Several classical imbedding theorems are special cases of general results which hold in the metric case. We apply our results to weighted Sobolev space with Muckenhoupt weight. Mathem...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Communications in Contemporary Mathematics
سال: 2012
ISSN: 0219-1997,1793-6683
DOI: 10.1142/s0219199712500435